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x = 5

Step-by-step explanation:

18 + 9 = 27

27/9 = 3

3x = x + 10

2x = 10

x = 5

Option D is correct.

Value of x is, 10 units.

Step-by-step explanation:

Given that:  

From the given figure, we have;

AP = 3 units , PB = 6 units , QC = 20 units and AQ = x units.

then, by triangle proportionality theorem;

Substitute the given values, to find the value of x;

By cross multiply we have;

Divide both sides by 6 we get;

10 = x

Therefore, the value of x is, 10 units

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0